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Finding the Fourth Proportional to 951.16, 1,312.59 and 537.16

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Solution

The fourth proportional to 951.16, 1,312.59 and 537.16 is: 741.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.16 : 1,312.59 = 537.16 : x
  2. Step 2: Convert to fraction form
    951.16/1,312.59 = 537.16/x
  3. Step 3: Cross multiply
    951.16x = 1,312.59 × 537.16
  4. Step 4: Simplify right side
    951.16x = 705,070.84
  5. Step 5: Solve for x
    x = 705,070.84/951.16
  6. Step 6: Final answer
    x = 741.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.